In a game, a spinner with five equal-sized spaces is labeled from A to E. If a player spins an A the player wins 15 points. If any other letter is spun the player loses 4 points. What is the expected gain or loss from playing 40 games

Answers

Answer 1

Answer:

-8

Step-by-step explanation:

Spaces = A - E

Points for spinning A = + 15

Spinning any other letter = - 4

P(A) = 1/5 = 0.2 ;

P(A) = P(B) = P(C) = P(D) =P(E)

Expected probability :

P(E) = ΣX*p(x)

= (15 * 0.2) + (-4 * 0.2) + (-4 * 0.2) + (-4 * 0.2) + (-4 * 0.2) = - 0.2

Hence, playing 40 games equals :

40 * - 0.2 = - 8

Hence, 8 points is lost


Related Questions

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Spiral Review "y is less than 3"

Question 1
Part A

Write an inequality that represents the sentence "y is less than 3
then Graph the inequality on the number line.

Answers

Answer:

Step-by-step explanation:

y < 3

<__|__|__|__|__|__°__|__|__|__>

   -2   -1   0   1    2   3   4   5   6

Basically, for the number line, there is an open circle on the 3 and the line goes to the left of 3.

Round the following number to the nearest thousand 2385

Answers

your answer is 2000 because the hundreds place is below 500 so you would round down

By rounding of the following number to the nearest thousand is 2000.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

'

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

Round the following number to the nearest thousand

2385

= 2000

Thus, by rounding of the following number to the nearest thousand is 2000.

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One 12 ounce can of soda has 150 calories. If Josiah drinks the big 28 ounce size from the local mini-mart, how many calories does he get?

Answers

Since one 12-ounce can of soda has 150 calories, the big 28-ounce size would contain more calories. To calculate the number of calories in the 28-ounce size, you can use proportions:

Let "x" be the number of calories in a 28-ounce soda can

Proportion: 12 oz : 150 calories = 28 oz : x

Solving for "x":

x = (28 oz x 150 calories) / 12 oz
x = 350 calories

Therefore, Josiah would get 350 calories if he drinks the big 28-ounce size soda from the local mini-mart.

Jae created a painting with an area of 48 square inches and a length of 6 inches. They create a second painting with an area of 64 square inches. It has the same width as the first painting. What is the length of the second painting?

Answers

We can solve this problem through initial identification of the width. This would look like:

Width = Area / Length

Width of the first painting = 48 / 6

Width of the first painting = 8 inches

We now know the width of the first created painting is 8 inches. We can plug this into our second equation for evaluation:

Length of second painting = Area / 8

Length of second painting = 64 / 8

Length of second painting = 8 inches

Upon evaluation, we will find that the length of the second painting is 8 inches.

please help please..

please help please..

Answers

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

please help please..

Answer:

A

Step-by-step explanation:

Solve x + y, if x = -6 and y = 22

Answers

Answer:

16

Step-by-step explanation:

plug in the numeric values.

-6 + 22

16

Answer:

{x,y}={14,8}

Step-by-step explanation:

Solve equation [2] for the variable  x     [2]    x = y + 6Plug this in for variable  x  in equation [1]   [1]    (y +6) + y = 22   [1]    2y = 16Solve equation [1] for the variable  y     [1]    2y = 16 [1]    y = 8 By now we know this much :     x = y+6,  y = 8Use the  y  value to solve for  x.    x = (8)+6 = 14 

John worked 40 hours and made $640. Tanya made $960 working for 60 hours. Who makes more per hour?

Answers

Answer:

they make the same per hour

The volume of this cylinder is 6.28 cubic yards. What is the radius?
4) Use ≈ 3.14 and round your answer to the nearest hundredth.

Height: 2 Yards

HEEEELP!!!

Answers

Answer:

r = 1 yard

Step-by-step explanation:

Volume of a cylinder is   endcap area  ( which is pi r^2)  times the height

pi r^2 h = volume

3.14 ( r^2) (2) = 6.28

 r = 1 yard

PLS ANSWER FAST I WILL MARK BRAINLIST

PLS ANSWER FAST I WILL MARK BRAINLIST

Answers

a = 13
hope this helps

Jill buys a mobile phone that weighs 210 g to 2 significant figures. She puts the phone inside a protective case that weighs 15.4 g to 1 decimal place. Work out the smallest possible total weight, in grams (g), of the phone and case combined. ​

Answers

The lowest overall weight that may be achieved is 220.35 grams

Weight is the amount and quantity of bulk or heaviness.

mass is typically defined as the force of gravity, which is equal to the body's mass times the local velocity of gravity.

As the weight of the smartphone is stated to be 210 g to two significant numbers, we may conclude that its true weight is between  205 g & 215g.

We may estimate that the case weighs between 15.35g to 15.45g because it is said to weigh 15.4 g  to one decimal point.

So, 205+15.35 = 220.35 g  is the absolute minimum weight that the phone and case may weigh together

Hence, 220.35 g  is the lowest feasible overall weight.

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Which inequality is true when the value of x is -5?

Answers

The true inequality from the list of options is (c) -x - 6 > -3.5

How to determine the true inequality

To determine which inequality is true when x is -5, we need to substitute -5 for x in each inequality and simplify.

a) -x – 6 < -3.5

Substituting x = -5, we get:

-(-5) - 6 < -3.5

5 - 6 < -3.5

-1 < -3.5

This is false, so option a) is not true.

b) -x – 6 > 3.5

Substituting x = -5, we get:

-(-5) - 6 > 3.5

5 - 6 > 3.5

-1 > 3.5

This is false, so option b) is not true.

c) -x - 6 > -3.5

Substituting x = -5, we get:

-(-5) - 6 > -3.5

5 - 6 > -3.5

-1 > -3.5

This is true, so option c) is true.

Hence, the correct option is (c) -x - 6 > -3.5

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Complete question

Which inequality is true when the value of x is -5?

a) -x – 6 < -3.5

b) -x – 6 > 3.5

c) -x - 6 > -3.5

d) x - 6 > -3.5

What is the value of x in the diagram below?

What is the value of x in the diagram below?

Answers

Answer: D: 7

Step-by-step explanation:

14/2 = 7

49/7 = 7

X=7 because the triangle is diluted by 7 so 49/7=7

Help Please ASAP!!!!!!!

Help Please ASAP!!!!!!!

Answers

Answer:

\(4x\)

Step-by-step explanation:

Step 1: Define

I will substitute delta x with h

\(\lim_{h \to 0} \frac{2(x+h)^2-2x^2}{h}\)

Step 2: Simplify function

Expand: \(\lim_{h \to 0} \frac{2(x^2+2hx+h^2)-2x^2}{h}\)Distribute 2: \(\lim_{h \to 0} \frac{2x^2+4hx+2h^2-2x^2}{h}\)Combine like terms: \(\lim_{h \to 0} \frac{4hx+2h^2}{h}\)Factor: \(\lim_{h \to 0} \frac{h(4x+2h)}{h}\)Simplify: \(\lim_{h \to 0} 4x+2h\)

Step 3: Evaluate limit

\(\lim_{h \to 0} 4x+2h=\lim_{h \to 0} 4x+2(0)\)

\(\lim_{h \to 0} 4x+2(0)=\lim_{h \to 0} 4x+0\)

\(\lim_{h \to 0} 4x+0 = 4x\)

A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please

A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain

Answers

9514 1404 393

Answer:

C = 95°D = 72°F = 108°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)

Using these relations, we have ...

  C = 180° -E = 180° -85° = 95°

  D = 144°/2 = 72°

  F = 180° -D = 180° -72° = 108°

it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby

Answers

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

how would you sketch a plot of the line on y=-2x+16

Answers

Answer:  Draw a straight line through (0, 16) and (1, 14)

The graph is below.

=========================================================

Explanation:

There are at least two approaches we can take

-----------------

Method 1

Plug in x = 0 to find that....

y = -2x+16

y = -2(0)+16

y = 16

The point (x,y) = (0,16) is on the line. This is the y intercept

Repeat similar steps for x = 1

y = -2x+16

y = -2(1)+16

y = 14

The point (1, 14) is also on the line

Plot the points (0, 16) and (1, 14). Then draw a straight line through them to complete the graph for y = -2x+16

You only need 2 points at minimum to draw a linear graph.

The graph is shown below. Ignore the stuff in red.

-----------------

Method 2

Compare y = -2x+16 to the form y = mx+b

m = -2 = slopeb = 16 = y intercept

The y intercept is where the graph crosses the y axis. In this case, it's at the location (0, 16)

Start at this point and move down 2 units and to the right 1 unit to arrive at (1, 14) which is another point on the line.

The stuff in red shows this motion of "down 2, right 1"

note that slope = -2 = -2/1 = rise/run

rise/run = -2/1

rise = -2 = go down 2

run = 1 = go to the right 1

-----------------

Side note: You can use a graphing tool like Desmos or GeoGebra to graph quickly. I used GeoGebra to make the diagram below. Though it's handy to have practice to do it by hand.

how would you sketch a plot of the line on y=-2x+16

Exhibit 13-3 To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The test statistic to test the null hypothesis equals _____. a. 1.059 b. .944 c. 19.231 d. 3.13

Answers

Answer:

a. 1.059

Step-by-step explanation:

Test statistics is used in hypothesis testing to find the conclusion. Test statistics are T-values which are used in testing a hypothesis and deciding whether to accept or reject the null hypothesis.

Test statistics can be calculated with the following formula:

Z = x - u / s /\(\sqrt{n}\)

X follows Poisson distribution. This distribution was randomly sampled 40 times. The sum of these 40 numbers follows
a) Poisson distribution
b) Exponential distribution
c) Weibull distribution
d) Normal distribution

Answers

The sum of these 40 sampled numbers follows option D: normal distribution, if X follows Poisson distribution.

The likelihood that a certain number of events will occur in a specific period of time or space, provided that they do so with a known constant mean rate and the Poisson distribution describes the distribution of events, regardless of the time since the previous event. When the mean is high, the sum of the Poisson distribution resembles a normal distribution.

The "normal distribution," a continuous probability distribution that is symmetrical at the mean and has a bell-shaped curve. It is also known as the bell curve or the Gaussian distribution. Several natural phenomena, including height, weight, blood pressure, and others, have a normal distribution.

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Write the sum. 54+63 as the product of a number and relatively prime addends

Answers

54 + 63 = 13 * 9 is the expression obtained as the product of a number and relatively prime addends.

A prime number is a number that can be divided only by 1 and itself.

54+63                                   (given)

We now have to find the sum of the given numbers as the product of relatively prime numbers.

In order to find the numbers we will find first sum and then factor

Sum=54+63=117

Factors of 117 are 13 and 9

117 = 13 * 9

13 and 9 are relatively prime because the factor of 13 and 9 is 1.

Therefore, 54 + 63 = 13 * 9 is the expression obtained as the product of a number and relatively prime addends.

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Find the inverse of f(x) = √9 - x - 8

Answers

Answer: f^-1 (x) = -x - 5

which of the following rational numbers is larger than 3/4?


5/6
4/10
3/6
1/3

HELP​

Answers

5/6

—3/4 is the same as 75% and the rest are less than that. 1/3 is 33%. 3/6 is 50%. 4/10 is 40%.

Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.

Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?

Allie Caryl Frank
Hector Morgan Terrence

Select the correct name in the table.A teacher arranged some pencils on her desk as shown below and asked

Answers

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

What are parallel lines?

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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The points (-5, p) and (-4,5) fall on a line with a slope of 3. What is the value of p?
p =

Answers

3 = (5 - p) / (-4 + 5)
p= 2

You pick a card at random. 5 6 7 What is P(odd or greater than 6)?

Answers

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

Answers

Answer:

what is it asking

Step-by-step explanation:

what is the equation from the function below?x. y0. 21. 72. 123. 174. 22

Answers

Each set corresponds to a point in the line. In order to get the equation of the line, we may use any of the two point then substitute it on this formula:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}x-x_1\)

where the subscripts 1 and 2 denotes the coordinates of points 1 and 2 respectively.

Let's take the first two sets

(0,2) and (1,7)

so x1 = 0, x2 = 1, y1= 2 and y2=7

\(\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}x-x_1 \\ y-2_{}=\frac{7_{}-2_{}}{1_{}-0_{}}x-0_{} \\ y-2=\frac{5}{1}x-0 \\ y-2=5x \\ y=5x+2 \\ 5x-y+2=0 \end{gathered}\)

Answer:

\(5x-y+2=0\)

Handsome Jack is buying a pony made of Diamonds

Answers

Answer:

so what should we do?!?!?!?!¡!?!

How much did he spend

Prove the following?

Prove the following?

Answers

Answer:

Hence, The Isomorphism between Two-Well-Ordered Sets W1  and W2  is UNIQUE

Step-by-step explanation:

Make a Plan: Understand the Problem

We need to Prove if Two-Well-Ordered Sets W1  and  W2 are ISOMORPHIC, Then there is ONLY ONE ISOMORPHISM.

Solve the problem:  

PROVE the Statement

1 -Assume there are Two Isomorphisms  f  and g between W1  and W2

2 - Define a Set:

A = {x ∈ W1 |f(x) ≠ g(x)}

3 - If A is Empty, Then f(x) = g(x) for all x ∈ W1, and the Isomorphism is Unique.

4 - If A is Non-Empty, Then Since W1 is Well-Ordered, There Exist a Least Element  a ∈ A

5 - Since f and g are Isomorphisms, f(a) and g(a) are the Least Elements in their respective images in W2.

6 - Since f(a) ≠ g(a), One of them, say f(a), is less than g(a).

7 - Let b = f^-1(g(a)).  Then b > a because f is an Isomorphism and f(a) < g(a).

8 - Since b > a, We now have f(b) = g(b) because, a is the Least Element in A.

9 - However, f(b) = g(a), Which Contradicts the Fact that  f  and g  are Isomorphisms

Draw the conclusion:

Hence, The Isomorphism between Two-Well-Ordered Sets W1  and W2  is UNIQUE

I hope this helps you!

Please help!! Urgent!!!

Please help!! Urgent!!!

Answers

Answer:

C: 10.39 inches

Two forces of 5N and 12N act at right angles to each other. Use a graph paper to determine the magnitude and direction of the resultant force graphically. State the scale you use to represent each vector. You will need a protractor to measure the angle the resultant makes with the 5N force.

Answers

The resultant of the force that acts in opposite directions is 7 N.

We have,

We know that the resultant force is the force that has the same effect in magnitude and direction as two or more forces that is acting together. We have to note that the force that is actinmg on an object is a vector quantity. The implication of this is that the magnitude and the direction of the forces that are acting on the body is very important.

By the use of the law of vectors we can be able to write in the case of the question that we have here, we can see that the forces are acting in the opposite directions. The implication of this is that we would have to subtract the forces so as obtain the resultant force.

We have to note that when we have opposite forces, one is said to be positive and the other negative and the resultant force can be found by subtraction. As such the resultant force can be obtained from;

Let the +B force be 12 N

Let the -B force be 5N

12 N - 5 N = 7 N

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